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Finding the Third Proportional to 948.80 and 1,435.85

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Solution

The third proportional to 948.80 and 1,435.85 is: 2,172.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.80 : 1,435.85 = 1,435.85 : x
  2. Step 2: Convert to fraction form
    948.80/1,435.85 = 1,435.85/x
  3. Step 3: Cross multiply
    948.80x = 1,435.85 × 1,435.85
  4. Step 4: Simplify right side
    948.80x = 2,061,669.71
  5. Step 5: Solve for x
    x = 2,061,669.71/948.80
  6. Step 6: Final answer
    x = 2,172.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.